1002011120100 has 54 divisors (see below), whose sum is σ = 3140748191490. Its totient is φ = 267202965120.

The previous prime is 1002011120093. The next prime is 1002011120147. The reversal of 1002011120100 is 10211102001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9134389476 + 992876730624 = 95574^2 + 996432^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556671945 + ... + 556673744.

Almost surely, 2^{1002011120100} is an apocalyptic number.

1002011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002011120100 is an abundant number, since it is smaller than the sum of its proper divisors (2138737071390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002011120100 is a wasteful number, since it uses less digits than its factorization.

1002011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113345709 (or 1113345699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002011120100 its reverse (10211102001), we get a palindrome (1012222222101).

The spelling of 1002011120100 in words is "one trillion, two billion, eleven million, one hundred twenty thousand, one hundred".